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The value of x, y and z respectively in the expression MxLyTz for the universal ...

The value of x, y and z respectively in the expression MxLyTz for the universal gravitational constant G are
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  • A 2, -3, -2
  • B -1, 3, -2
  • C -1, 2, -3
  • D -2, -1, 3
Correct Answer: Option B
Explanation:
F ∝ M1M2
__r2



=> F = GM1M2
__r2




where F is the force of attraction
M1 and M2 are masses of the two bodies, r is the distance between them, and G is the universal gravitational constant ∴ G = _Fr2
M1M2



∴ dimension for force, F = ML = MLT-2
T.T



The dimension for G = MLT-2L2 = L3T-2
_MM _M




= M-1L3T-2
In comparison with MxLyTz, the values for x, y and z = -1, 3, -2

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